Welcome! Lesson details for each day are described below. I will do my best to not only stay updated, but also provide extra links and resources for you to use and explore.
Semester 2 Tentative Schedule: PCSemester2Schedule
Course Feedback – Course Evaluation
Day 2: Examine Limits using a table of values. Warm-up: PC9-2WarmUp
Day 1: Examine Limits Graphically
Final Exam – Semester 2
Final Exam Schedule:
B-Day – Part 1 of the Final Exam is Tuesday, May 28th. Part 2 is Thursday, May 30th.
A-Day – Part 1 of the Final Exam is Wednesday, May 29th. Part 2 is Friday, May 31st.
Following the final exam, all non-seniors will be get feedback on their final. The remainder of the year will be a preview of Calculus lessons and ideas.
Chapter 8: Conic Sections/Polar Coordinates
This unit will be touched upon while AP tests are occurring. No homework during this time.
Chapter 7: Vectors
Day 68: April 18th/19th. Objective: Students will solve applied vector problems. Homework: p. 628 #89 and #90.
Day 67: April 16th/17th. Objective: Students will solve applied mathematics problems using vectors. Class Review/Practice: PC7-3TableGroupPracticeReview Homework: p. 628 #’s 77 and #78.
Day 66: April 12th/15th. Objective: Students will find the unit vector in the same direction as another given vector. Students will find the direction angle of a vector, as well as its component form. Homework: p. 627 #’s 50, 51, 52, 60, 61, 62, 68, 69, and 70.
Day 65: April 10th/11th. Objective: Students will define vectors and learn various notation for working with vectors. Homework: If you haven’t already, read and take notes on pages 616 to 620. Complete the problems on page 626 #’s 3-8, 15, 16, 31, 32, 35, 36, and 37.
Chapter 6: Applications of Trigonometric Functions
Day 64: April 5th/9th: Objective: Students will work collaboratively in order to complete a group portion of a test. Students will work independently in order to complete an individual portion of a test. Homework: TBD
Day 63: April 3rd/4th: Objective: Students will persevere in problem solving in order to prepare for a test. Review Answer Key: PC6-ReviewKey Homework: Study the review as well as the PC6-5GroupPractice.
Day 62: April 1st/2nd: Objective: Students will draw diagrams to assist in solving elementary vector problems.Notes: PC6-5Notes Class Practice: PC6-5GroupPracticeHomework: Complete at least the front of the unit review: PC6-Review
Day 61: March 21st/22nd: Objective: Students will select the correct mathematical tool to solve application problems. Notes: PC6-4Notes Homework: p. 552 # 41 (draw the diagram, show work, answer the question in a complete sentence)
Day 60: March 19th/20th: Objective: Students will apply various trigonometric laws and theorems in order to solve word problems. Homework: p. 560 # 46 (draw the diagram, show work, answer each piece of the problem)
Day 59: March 14th/15th: Objective: Students will apply the law of cosines to non-right triangles. Homework: G 7-5 Law of Cosines and Sines
Chapter 5: Analytic Trigonometry
Day 56: March 8th/11th. Objective: Students will complete an individual test. Preparation includes the Review, Group Test, Homework, Class Work, and Daily Quizzes. Use all of them to prepare.
Day 56: March 7th. Objective: Students will complete a unit review.
Day 54: March 1st/4th. Objective: Students will use half-angle formulas to find the exact value of the expression. Video: Half-Angle Formulas. More Notes: PC5-5NotesKey PowerPoint Notes: PC5-5HalfAngle Homework: p. 518 #’s 20, 21, 26, 27. Study for the group test on Tuesday.
Day 53: Period 5: Homework due on Monday March 4th: p. 518 #’s 1,4,5,6. #’s 7 and #8 (part’s A,B, and E only).Sneak Preview of the Group Test: PC5-GroupTest Period 1,2,3: Homework due Friday March 1st is still p. 518 #’s 1,4,5,6. #’s 7 and #8 (part’s A,B, and E only).
Day 52: February 25th (Monday)/26th (Tuesday)/28th (Thursday). Objective: Students will apply double angle formulas to various situations.Skill Builder: PC5-4SkillBuilder Skill Builder Answer Key: SkillBuilderKey Class Practice: PC5-4A Notes from Class Practice: PC5-4AKey Homework: p. 518 #’s 1,4,5,6. #’s 7 and #8 (part’s A,B, and E only).
Day 51: February 21st/22nd. Objective: Students will apply the sum and difference formulas to various situations. Notes: PC5-4 (includes tangent example) Homework: p. 508 #’s 37 and #75. Period 5 ONLY: I know most of you were taking the ACT last class. You need to examine the PC5-4 notes as well as the video from YouTube about Sum and Difference Formulas. Use that to complete the document PC5-3A. For homework you will complete the assignment listed on Feb. 19th/20th below. There is also an older video from YouTube you can watch to help you.
Day 50: February 19th/20th. Objective: Students will use sum and difference formulas to evaluate trigonometric expressions. Notes(PowerPoint): PC5-3Slides Homework: p. 508#’s 5,6,7,8,19,23, and 27 (5th period will have an extension on this assignment)
Day 49 February 14th/15th. Objective: Students will solve trigonometric equations using factoring and identities. Assignment: PC5-2B Notes: PC5-2Notes2 Homework: p. 497 #’s 28, 29, and 30. p. 487 #’s 11, 17, and 64. Bonus problem for an extra stamp: p. 487 # 109.
Day 47: February 8th/11th. Objective: Students will establish trigonometric identities. Homework: p. 497 #’s 19-27.
Day 46: February 6th/7th. Objective: Students will establish trigonometric identities. Homework: Study for re-test in class.
Day 45: February 4th/5th. Objective: Students will establish trigonometric identities. Homework: Your new textbook starts section 6.4 on page 491. First, I want you to add the Even-Odd identities on page 492 into your notes. Second, complete the practice problems on page 496 #’s 1-14. Make sure to copy down the entire problem in order to receive full credit. Do not simply write “true” or “false” for problems 1 and 2.
Day 44: January 31st/February 1st. Objective: Students will provide feedback as to how they would handle a scenario via a google form. Students will simplify trigonometric expressions. Survey Form: Use this link to provide feedback based on the scenario. You are welcome to spend about 15 minutes on this if needed. Please don’t write one word answers – take your time and think about what you would do. Student Success Form Homework: PC5-1Assignment (Just do the front) Hint: Use the notes to match the functions up with the various identities. Make sure you try each one. 5th period – Sorry I’m not there, but just try your best today. We will go over this Tuesday. Don’t forget about your group test corrections!
Unit 4 – Trigonometry and the Unit Circle
Day 43: January 29th/30th. Objective: Students will prove their knowledge by completing an individual test. Homework: Bring your student ID to class so we can check out our new textbook!
Day 42: January 25th/28th. Objective: Students will prove their knowledge by completing a group test. Homework: Complete the PC 4 – Review Review Key: PC-4 Review Key and study for the individual test next class.
Day 41: January 23rd/24th. Objective: Students will find the inverse of a trigonometric function. Course Survey: Semester 1 Survey Notes: PC4-6 Notes 1 of 2 PC 4-6 Notes 2 of 2 Homework: PC 4-6 Inverse. Also, check out this STEM opportunity.
Day 39: January 15th. Objective: Students will review trigonometry. Skinny Day! All 8 periods today
Day 38: January 11th/14th. Objective: Students will graph one cycle of a trigonometric function. Notes: PC 4-4 Notes Practice Problems: PC4-4 Practice Homework: p. 450 #’s 1-9 odd, #’s 21-26, #’s 43- 46 (you may just graph #’s 43-46, don’t worry about the “steps” for them).
Answer Keys (Due to popular demand)
Day 37: January 9th/10th. Objective: Students will draw reference triangles and determine the quadrants given a trigonometric function. Notes: PC 4-3 Notes Homework: p 429#’s 1-7 odd, 17, 19, 25, 29. #’s 33 – 39 odd.
Day 36: January 7th/8th. Objective: Students will draw reference triangles to define the value of the six trigonometric functions. Counting to Pi: Count to Pi Notes: pc4-2notes Homework: p. 417 #’s 1-9 odd, #’s 33, 37, 41, 45, 47, 53, and 57.
Day 35: January 3rd/4th. Objective: Students will convert between radian and degree angle measure. Students will recognize patterns in the unit circle.Notes: PC4-1Notes2 Skill Builder: PC4-1Skillbuilder Homework: p 404 #’s 3-39 odd, 57, 61, 69 and 75. Finish the Unit Circle!
First Semester Final Exams
A-Days: Monday – Final Part 1 Wednesday – Final Part 2
B-Days: Tuesday – Final Part 1 Wednesday – Final Part 2
Day 34: December 10/11/12/13: Objective: Students will prove their knowledge by completing a final exam. Homework: Have a safe and restful winter break. When we return we will start Trigonometry!
Day 33: December 6th/7th. Objective: Students will prepare for their final exam. Homework: Study. PC-FinalSemester1-Glue IN (What to study)
Day 32: December 4th/5th. Objective: Students will identify learning targets that will be assessed on the final exam. Students will review material from final exam learning targets. Study Guide: Math 111 Study Guide. Answer Key: Math 111 Answer Key Homework: PC-1stSemesterReviewProblems Review KEY: PC-1stSemesterReviewProblemsKEY
Chapter 3: Exponentials and Logarithms
Group Test: Wednesday/Thursday Individual Test: Friday/Monday
Day 31: November 30th/December 3rd. Objective: Students will complete an individual test. Homework: Start reviewing for the final – math_111_final_exam_review. (you don’t need to complete the whole thing! Work on it for about 30 – 45 min)
Day 30: November 28th/29th. Objective: Students will complete a group test. Homework: Study for the individual test.
Day 29: November 26th/27th. Objective: Students will interpret logistic growth models using a graphing utility. Notes: PC3-4Notes In-Class Practice: PC3-4PracticeProblems Review Key: PC3-ReviewKey Homework: PC3-Review
Day 28: November 15th/16th. Objective: Students will apply growth and decay models to real world problems. Notes: PC3-3Notes Practice Problems from this class: PC3-3GroupPractice New Video on Carbon-Dating: Exponential Decay (Carbon Dating) Video Second New Video on Population Growth: Exponential Growth Homework: p. 367 #’s 1, 2, 3, 9, and 11.
Day 27: November 13th/14th. Objective: Students will calculate the future value of a lump sum of money as well as the time required to double or triple an investment. Notes: PC3-2Notes(Part1) and PC3-2Notes(Part2) Homework: PC3-2InterestPracticeProblems
Day 26: November 8th/9th. Objective: Students will determine the domain of a logarithmic function. Students will apply properties of logarithms to solve for x. Notes: PC3-1Notes Students that need extra practice: Do the homework, but also complete #’s 2, 4, 6, 12, and 49 too. Homework: p. 349 #’s 1, 3, 7, 9, 13, 15, 21, 52.
Chapter 2: Polynomials and Rational Functions
Scheduled Testing Day’s: A-Day: 11/6 B-Day: 11/7
Day 23: October 31st/November 1st. Objective: Students will analyze rational function graphs in order to write a possible equation of the rational function. Warm-Up: Complete this survey Quarter 1 Survey Homework: PC2-7Homework
Day 22: October 26th/30th. Objective: Students will find horizontal and oblique asymptotes of rational functions in addition to any points of intersection with horizontal/oblique asymptotes and the graph of the rational function. Notes: PC2-6Notes Notes Key: Front – PC2-6NotesKeyFRONT back – PC2-6NotesKey Homework: PC 2-6 Homework
Day 21: October 24th/25th. Objective: Students will identify x and y-intercepts, vertical asymptotes, and holes in the graph of a rational function. Notes/Practice: PC2-5Notes Notes Key: PC2-5NotesKey(part1) (front) PC2-5NotesKeyBack(part1) and PC2-5NotesKey(part2) Homework: Read pages 231-235. Copy all of example 7 on page 235. Complete the PC2-5 Practice Problems Page 243 complete #’s 11-16 all
Day 20: October 22nd/23rd. Objective: Students will apply Descartes Rule of Signs to determine the number of positive, negative, and imaginary zeros of a polynomial. Students will apply the Rational Zeros Theorem to a polynomial to determine the potential rational zeros. Notes/Practice: PC2-4Notes Notes Key: PC2-4DescartesNotes and PC2-4RationalZerosNotes Homework: p. 264 #’s 11-17 odd, 23-29 odd, 61 and 63.
Day 19: October 18th/19th. Objective: Students will use complex roots to write the equation of a polynomial in standard form. Notes: Part 2 of PC2-2Notes Notes Key: PC2-2Part2NotesKey Class Practice: Part 2 of PC2-2PracticeClasswork Homework: p. 279 #’s 1-9 odd, #’s 11-15 odd, #’s 17-23 odd.
Day 18: October 16th/17th. Objective: Students will write the equation of a polynomial given the roots and the degree of the polynomial.Warm-Up: PC2-2WarmUpKey Notes: Part 1 of PC2-2Notes Notes Key: PC2-2Part1NotesKey Class Practice: Part 1 of PC2-2PracticeClasswork Homework: p. 224 #’s 1-9 all, #’s 11-19 odd, #’s 57, 58, and 59.
Day 17: October 11th/15th. Objective: Students will construct polynomials from roots. Notes: PC2-1Notes Class Practice:PC2-1(a) Homework: p. 263 #’s 1-8 all. The Factor Theorem uses the same skill you had for homework last class. In problem #1, use c=2 to write the factor (x-2) to see how f(x) can be fully factored or not. Try each problem. Ch3PCBook
Chapter 1 – Part 2: Transformations, Inverses, and Compositions of Functions
Day 16: October 8th/9th. Objective: Students will prove their knowledge by completing an individual test. Homework: PC2-0
Day 15: October 4th/5th. Objective: Students will collaborate to complete a group test in order to prepare for an individual test on Monday/Tuesday. Homework: Study for the individual test!
Day 14: October 2nd/3rd. Objective: Students will review unit material to prepare for a group test and individual test. Unit Review: PC1-Review(2) Review Key: PC1-Review(2)KEY Group Test is next class! Individual Test will be Monday/Tuesday! Homework: study!
Day 13: September 28th/October 1st. Objective: Students will find the inverse of a function algebraically and graphically. Class Notes: PC1-9InverseNotes Additional Notes Scan: PC1-9NotesFrontScan Homework: 1) Finish classwork worksheet Classwork PC 1-9 and 2) p. 309 #’s 43, 44, 47, 49, 51, and 52 (Just find the inverse of these functions) Ch4PCBook. Side Note: If you are wondering why you can’t divide by 0, watch this video: Dividing by zero? It might help you conceptualize some things that we’ve discussed before.
Day 12: September 26/27. Objective: Students will perform operations on functions as well as compositions of functions. Notes Part 1: PC1-8NotesPart1 Notes Part 2: PC1-8NotesPart2 Classwork Practice Problems: PC1-8Practice Homework: p. 170 #’s 1, 3, 5, 7, 21, 23, 25 (you don’t need to find the domain)
Day 10: September 20th/21st. Objective: Students will perform transformations given a graph, equation, or point on a graph. New YouTube video of Notes: Transformations Exploration Notes Part 1: PC1-6ExplorationPart1Completed Exploration Notes Part 2: PC1-6ExplorationPart2Front and PC1-6ExplorationPart2Back Homework: p. 162 #’s 1-24 all (make sure to graph the equations shown).
Day 9: September 18th/19th: Objective: Students will evaluate the difference quotient given a function. Notes: PC1-5Notes Completed Notes: PC1-5NotesCompleted Homework: Finish all the classwork problems here: PC1-5ClassPracticeProblems. Also complete p. 150 #’s 81-84. In these problems, simply evaluate the difference quotient.
Chapter 1: Functions and Their Graphs
Day 8: September 14th/17th. Objective: Students will prove their knowledge on Functions and their graphs. Homework: None.
Day 7: September 12th/13th. Objective: Students will review unit material to prepare for a test next class. Unit Review: PC1-Review(1) Review Key: PC1-Review(1)KEY (I made a mistake on number 4, so I apologize). We will go over exactly why #4 isn’t a good example problem later, but you can use other example problems from homework and daily quizzes instead. TEST NEXT CLASS!
Day 6: September 10th/11th. Objective: Students will determine if a function is even, odd, or neither both algebraically and graphically. Glue-In: PC1-4 Notes Completed Glue-In: PC1-4GlueComplete Class work: PC1-4PracticeProblems Homework: p 148 #’s 9-19 odd (part c only) #’s 41-51 all problems.
Day 5: September 6th/7th. Objective: Students will determine the intervals for which a function is concave up or concave down. Glue-In: PC1-3GlueIn Glue-In(Completed): PC1-3GlueInCompleted Class Investigation: PC1-3InvestigationNotes Investigation Answer Key: PC1-3InvestigationNotesSolutions Homework: Tonight’s homework will be to complete all of these problems: PC1-3HomeworkSet. Homework Set Solutions: PC1-3HomeworkSetSolutions
Day 4: September 4th/5th. Objective: Students will define piecewise functions from a graph. Students will determine the intervals that a function is increasing, decreasing, and constant. Investigation #1 and #2 (Piecewise Functions/Intervals Increasing and Decreasing): Investigation and Notes Completed Notes #1: Piecewise Functions Completed Notes #2: Intervals Increasing/Decreasing Homework: p. 148 #’s 1-8 all (draw the graphs too) #’s 9 – 19 odd (only do a and b parts – skip part c and d), #’s 85, 86, 87, and 88 (draw the graphs too).
Day 3: August 30th/31st. Objective: Students will write the domain of a function using set notation given an equation or graph. Students will write the range of a function using set notation given a graph. Notes(blank): PC1-1Notes Filled in Notes: PC1-1NotesComplete Practice Problems from class: PC1-1 Homework: p. 125 #’s 17, 23-31 odd, #’s 37, 39, and 41, #’s 49 – 59 odd.
Day 2: August 28th/29th. Objective: Students will assess quiz feedback, familiarize themselves with classroom routines, and find the domain and range of a function. Classwork: PC1-0Stations Classwork Solutions: PC1-0StationsSolutions Homework: p. 125 #’s 1-11 odd, #’s 13, 15, 21, and 33. Show your work.
Day 1: August 27. Objective: Students will familiarize themselves with class rules and routines as they analyze the learning objectives for the school year. Course Syllabus: PCSyllabus Homework: Visit this website (if you are reading this, congratulations). Watch the first three videos on My Channel for Precalculus . Begin obtaining necessary course materials and see me if you need help.